Resources tagged with: Practical Activity

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Broad Topics > Thinking Mathematically > Practical Activity

Making Maths: Rolypoly

Age 5 to 11
Challenge Level

Paint a stripe on a cardboard roll. Can you predict what will happen when it is rolled across a sheet of paper?

Regular Rings 1

Age 7 to 11
Challenge Level

Can you work out what shape is made by folding in this way? Why not create some patterns using this shape but in different sizes?

Six to Four

Age 5 to 7
Challenge Level

Move four sticks so there are exactly four triangles.

Midpoint Triangle

Age 7 to 11
Challenge Level

Can you cut up a square in the way shown and make the pieces into a triangle?

Happy Halving

Age 5 to 7
Challenge Level

Can you split each of the shapes below in half so that the two parts are exactly the same?

Sponge Sections

Age 7 to 11
Challenge Level

You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.

Paper Patchwork 2

Age 5 to 7
Challenge Level

Have a go at making a few of these shapes from paper in different sizes. What patterns can you create?

Folding Flowers 2

Age 7 to 11
Challenge Level

Make a flower design using the same shape made out of different sizes of paper.

Tessellating Capitals

Age 5 to 7
Challenge Level

Have you ever tried tessellating capital letters? Have a look at these examples and then try some for yourself.

Paper Patchwork 1

Age 5 to 7
Challenge Level

Can you work out what shape is made when this piece of paper is folded up using the crease pattern shown?

Paper Partners

Age 5 to 7
Challenge Level

Can you describe a piece of paper clearly enough for your partner to know which piece it is?

Reef and Granny

Age 7 to 11
Challenge Level

Have a look at what happens when you pull a reef knot and a granny knot tight. Which do you think is best for securing things together? Why?

Rearrange the Square

Age 5 to 7
Challenge Level

We can cut a small triangle off the corner of a square and then fit the two pieces together. Can you work out how these shapes are made from the two pieces?

Triangular Faces

Age 7 to 11
Challenge Level

This problem invites you to build 3D shapes using two different triangles. Can you make the shapes from the pictures?

Fractional Triangles

Age 7 to 11
Challenge Level

Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.

Pyramid Numbers

Age 7 to 11
Challenge Level

What are the next three numbers in this sequence? Can you explain why are they called pyramid numbers?

Tangrams

Age 5 to 11
Challenge Level

Can you make five differently sized squares from the interactive tangram pieces?

Hexagon Transformations

Age 7 to 11
Challenge Level

Can you cut a regular hexagon into two pieces to make a parallelogram? Try cutting it into three pieces to make a rhombus!

Folding, Cutting and Punching

Age 7 to 11
Challenge Level

Exploring and predicting folding, cutting and punching holes and making spirals.

Three Squares

Age 5 to 11
Challenge Level

What is the greatest number of squares you can make by overlapping three squares?

Square Tangram

Age 7 to 11
Challenge Level

This was a problem for our birthday website. Can you use four of these pieces to form a square? How about making a square with all five pieces?

Jomista Mat

Age 7 to 11
Challenge Level

Looking at the picture of this Jomista Mat, can you decribe what you see? Why not try and make one yourself?

Shapely Lines

Age 5 to 7
Challenge Level

This challenge invites you to create your own picture using just straight lines. Can you identify shapes with the same number of sides and decorate them in the same way?

Matchsticks

Age 7 to 11
Challenge Level

Reasoning about the number of matches needed to build squares that share their sides.

Making Maths: Test the Strength of a Triangle

Age 7 to 11
Challenge Level

Have you noticed that triangles are used in manmade structures? Perhaps there is a good reason for this? 'Test a Triangle' and see how rigid triangles are.

Move Those Halves

Age 7 to 11
Challenge Level

For this task, you'll need an A4 sheet and two A5 transparent sheets. Decide on a way of arranging the A5 sheets on top of the A4 sheet and explore ...

Folding Flowers 1

Age 7 to 11
Challenge Level

Can you visualise what shape this piece of paper will make when it is folded?

Construct-o-straws

Age 7 to 11
Challenge Level

Make a cube out of straws and have a go at this practical challenge.

Making Maths: Birds from an Egg

Age 7 to 11
Challenge Level

Can you make the birds from the egg tangram?

Tricky Triangles

Age 5 to 7
Challenge Level

Use the three triangles to fill these outline shapes. Perhaps you can create some of your own shapes for a friend to fill?

Regular Rings 2

Age 7 to 11
Challenge Level

What shape is made when you fold using this crease pattern? Can you make a ring design?

Stringy Quads

Age 7 to 11
Challenge Level

This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!

Making Maths: Making a Tangram

Age 7 to 11
Challenge Level

Follow these instructions to make a three-piece and/or seven-piece tangram.

Making Maths: Five-point Snowflake

Age 7 to 11
Challenge Level

Follow these instructions to make a five-pointed snowflake from a square of paper.

Little Boxes

Age 7 to 11
Challenge Level

How many different cuboids can you make when you use four CDs or DVDs? How about using five, then six?

Making Maths: Snowflakes

Age 7 to 11
Challenge Level

It's hard to make a snowflake with six perfect lines of symmetry, but it's fun to try!

Map Folding

Age 7 to 11
Challenge Level

Take a rectangle of paper and fold it in half, and half again, to make four smaller rectangles. How many different ways can you fold it up?

Making Maths: A-maze-ing

Age 7 to 11
Challenge Level

Did you know mazes tell stories? Find out more about mazes and make one of your own.

It's a Tie

Age 7 to 11
Challenge Level

Kaia is sure that her father has worn a particular tie twice a week in at least five of the last ten weeks, but her father disagrees. Who do you think is right?

Making Maths: Stars

Age 7 to 11
Challenge Level

Have a go at drawing these stars which use six points drawn around a circle. Perhaps you can create your own designs?

Two Squared

Age 7 to 11
Challenge Level

What happens to the area of a square if you double the length of the sides? Try the same thing with rectangles, diamonds and other shapes. How do the four smaller ones fit into the larger one?

Halving

Age 5 to 7
Challenge Level

These pictures show squares split into halves. Can you find other ways?

Chairs and Tables

Age 5 to 7
Challenge Level

Make a chair and table out of interlocking cubes, making sure that the chair fits under the table!

Animated Triangles

Age 5 to 7
Challenge Level

Watch this "Notes on a Triangle" film. Can you recreate parts of the film using cut-out triangles?

A Patchwork Piece

Age 7 to 11
Challenge Level

Follow the diagrams to make this patchwork piece, based on an octagon in a square.

Sizing Them Up

Age 5 to 7
Challenge Level

Can you put these shapes in order of size? Start with the smallest.

Hoops/rope

Age 7 to 11
Challenge Level

Ideas for practical ways of representing data such as Venn and Carroll diagrams.

Let Us Reflect

Age 7 to 11
Challenge Level

Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?

Jig Shapes

Age 5 to 11
Challenge Level

Can you each work out what shape you have part of on your card? What will the rest of it look like?

Purposeful Paper Folding

Age 5 to 11

In this article for primary teachers, Fran describes her passion for paper folding as a springboard for mathematics.